A force of 100 N gives a mass m1, an acceleration of 10 ms-2 and of 2

1.	A force of 100 N gives a mass m1, an acceleration of 10 ms-2 and of 20 ms-2 to a mass m2 . What acceleration must be given to it if both the masses are tied together?
Answer» Suppose, a = acceleration produced if m and m are tied together, F = 100 N Let a₁ and a₂ be the acceleration produced in m₁ and m₂ respectively. ∴ a₁ and a₂ = 20ms^-2 (given) Again m₁ = \(\frac{F}{a_1}\) and m₂ = \(\frac{F}{a_2}\) ⇒ m₁= \(\frac{100}{10}\) =10 kg and m₂= \(\frac{100}{20}\) = 5 kg ∴ m₁ + m₂ = 10 + 5 = 15 so, a = \(\frac{F}{m_1 + m_2}\) = \(\frac{100}{15}\)= \(\frac{20}{3}\) = 6.67 ms²

A force of 100 N gives a mass m1, an acceleration of 10 ms-2 and of 20 ms-2 to a mass m2 . What acceleration must be given to it if both the masses are tied together?

Answer»

Suppose, a = acceleration produced if m and m are tied together,

F = 100 N

Let a₁ and a₂ be the acceleration produced in m₁ and m₂ respectively.

∴ a₁ and a₂ = 20ms^-2 (given)

Again m₁ = \(\frac{F}{a_1}\) and m₂ = \(\frac{F}{a_2}\)

⇒ m₁= \(\frac{100}{10}\) =10 kg

and m₂= \(\frac{100}{20}\) = 5 kg

∴ m₁ + m₂ = 10 + 5 = 15

so, a = \(\frac{F}{m_1 + m_2}\) = \(\frac{100}{15}\)= \(\frac{20}{3}\) = 6.67 ms²